拟共形映射与调和函数

本文利用调和函数的Ｄｉｒｉｃｈｌｅｔ积分来估计具有给定边界值的拟共形映射的极值伸缩商,回答Ｄ．Ｐａｒｔｙｋａ关于拟对称函数谱值和特征值的一个问题。     

拟共形映射与John域

本证明了有界一致域必定是Hohn域和Jphn域的拟共不变性．     

内球性质和拟共形映射

研究了一类具有内球性质区域的几何与分析性质,证明了f(∞)=∞的同胚f:-Rn→-Rn是拟共形映射当且仅当f保持区域的内球性质不变,并获得了该类区域若干有趣的几何性质.     

On Quasiconformal Mappings Between Hyperbolic Triangles

Quasiconformal mappings between hyperbolic triangles are considered.We give an explicit estimate of the dilation of the quasiconformal mappings,which generalize...     

拟共形映射的偏差定理

本文得到了一个空间拟共形映射的偏差定理,这一结果是F.W.Gehring的平面偏差定理的空间拓广。     

距离Cigar域与拟共形映射

设f：R^n→R^n是一同胚，本文证明了f是拟共形映射的充要条件是f将R^n中的任一距离Cigar域映成R^n中的距离Cigar域．     

Quasi-Nearly Subharmonic Functions and Quasiconformal Mappings

We prove that the composition of a quasi-nearly subharmonic function and a quasiregular mapping of bounded multiplicity is quasi-nearly subharmonic. Also, we prove that if u?°?f is quasi-nearly subharmonic for all quasi-nearly subharmonic u and f satisfying some additional conditions, then f is quasiconformal. Similar results are further established for the class of regularly oscillating functions.     

Quasiconformal Mappings and Weakly John Domains

Let D be a bounded domain in R~2 and c(≥1)be a constant.We say that D is a c-Johndomain if there exists x_0∈D such that for any x∈D,there must be a rectifiable curve γDwhich joins x and x_0,satisfying l(γ(x,y))≤cd(y,D)for any y ∈γ,where l(γ(x,y))denotesthe Euclidean length of the subcurce γ between x and y,d(y,D)is the Euclidean distance fromy to the boundary D of D.We say that D is a John domain if D is a c-John domain for some     

Riemann曲面之间的极值拟共形映射

设Ｓ和Ｒ是两个以单位圆为万有覆盖的Ｒｉｅｍａｎｎ曲面,ｆ：Ｓ→Ｒ为拟共形同胚,类似于ＫＳｔｒｅｂｅｌ的方法。我们引ｉｅｍａｎｎ嗣面Ｓ上的点ｐ０关于模边同伦类「ｆ０」的可变性集合Ｖ「ｆ０」「ｐ０」的概念并且证明可变性集合是Ｒ的一个紧的连通子集。     

Absolute Continuity of Quasiconformal Mappings on Curves

We show that a quasiconformal mapping between two proper, locally Ahlfors Q-regular metric spaces, Q > 1, is absolutely continuous on almost every curve. We further relax the limes superior in the definition of quasiconformality to a limes inferior and verify that exceptional sets analogous to the Euclidean setting can be allowed. The authors were supported by grants from the Swiss NSF and the Academy of Finland. Part of the research was done while S.R. was visiting at the University of Bern. Received: August 2005 Accepted: January 2006     

On Quasiconformal Close-to-Convex Harmonic Mappings Involving Starlike Functions

In this paper, we discuss several basic properties of a class of quasiconformal close-to-convex harmonic mappings with starlike analytic part, such results as coefficient inequalities, an integral representation, a growth theorem, an area theorem, and radii of close-to-convexity of partial sums of the class, are derived. © 2020, Chinese Academy of Sciences. All right reserved.     

Mappings of finite distortion: Removable singularities

We derive sufficiently sharp local dimension-free estimates for volumes of sublevel sets of analytic functions in the unit ball of ℂ ⁿ The research was partially supported by the United States-Israel Binational Science Foundation.     

抛物区域上拟共形映射的极值性

分别记Ω={(x,y)|y2＜4(x 1))为平面上的抛物区域,Fk=Kx iy K-专是Ω上的水平拉伸映射,(Ω)=FK(Ω),E (C) aΩ,Q(FK|E)={f:f是Ω到(Ω)上的拟共形映射,f|E=Fk|E}.得到了FK在Q(FK|E)中极值的充要条件是∞为E的聚点.     

拟共形映射面积偏差条件下的Schwarz型定理

关于拟共形映射在一些面积偏差条件下,得到了Schwarz型定理.     

拟共形映射面积偏差条件下的Schwarz型定理

关于拟共形映射在一些面积偏差条件下,得到了Schwarz型定理．